This is a conic application question worth 8 marks(adsbygoogle = window.adsbygoogle || []).push({});

You dont want your dog to run away so you place 2 steaks in the groud 4 metres apart and attach the end of a 8 metre long rope to each side of the stakes then you attach the dogs collar to a ring which slides along the rope.

Describe the region in which the dog may roam, and include the dimensions fo the region in your answer.

The dimension part of this question is giving me trouble

I know the region will look like a horizontal ellipse

with center (0,0) and steaks (foci) at points (-2,0) and (2,0)

if there was a digram the length from center (0,0) to the foci =c

and the distance from the dog to the foci =a and b is the line perpendicular to the x-axis.

im not sure but I think a=6 and c=2 i used pythagorean theory to find b and got sqrt(32)

now i think the dimensions of the ellipse will be the major axis by the minor axis so 2a by 2b 2(6)=major axis of 12 and 2(sqrt32)=minor axis 11.31

please help me out, thanks

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# Homework Help: Dimensions of an ellipse region a dog wanders

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